Finding the Fourth Proportional to 10,429.92, 14,393.07 and 5,714.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,429.92 : 14,393.07 = 5,714.10 : x
2. Step 2: Convert to fraction form
   10,429.92/14,393.07 = 5,714.10/x
3. Step 3: Cross multiply
   10,429.92x = 14,393.07 × 5,714.10
4. Step 4: Simplify right side
   10,429.92x = 82,243,441.29
5. Step 5: Solve for x
   x = 82,243,441.29/10,429.92
6. Step 6: Final answer
   x = 7,885.34